105500011110 has 32 divisors (see below), whose sum is σ = 272676952800. Its totient is φ = 25969233408.

The previous prime is 105500011103. The next prime is 105500011117. The reversal of 105500011110 is 11110005501.

It is an interprime number because it is at equal distance from previous prime (105500011103) and next prime (105500011117).

It is a super-2 number, since 2×105500011110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105500011110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500011117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135256035 + ... + 135256814.

It is an arithmetic number, because the mean of its divisors is an integer number (8521154775).

Almost surely, 2^105500011110 is an apocalyptic number.

105500011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105500011110 is an abundant number, since it is smaller than the sum of its proper divisors (167176941690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105500011110 is a wasteful number, since it uses less digits than its factorization.

105500011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270512872.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 105500011110 its reverse (11110005501), we get a palindrome (116610016611).

The spelling of 105500011110 in words is "one hundred five billion, five hundred million, eleven thousand, one hundred ten".